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Simplifying 32k + 82 = 71k + -74 Reorder the terms: 82 + 32k = 71k + -74 Reorder the terms: 82 + 32k = -74 + 71k Solving 82 + 32k = -74 + 71k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-71k' to each side of the equation. 82 + 32k + -71k = -74 + 71k + -71k Combine like terms: 32k + -71k = -39k 82 + -39k = -74 + 71k + -71k Combine like terms: 71k + -71k = 0 82 + -39k = -74 + 0 82 + -39k = -74 Add '-82' to each side of the equation. 82 + -82 + -39k = -74 + -82 Combine like terms: 82 + -82 = 0 0 + -39k = -74 + -82 -39k = -74 + -82 Combine like terms: -74 + -82 = -156 -39k = -156 Divide each side by '-39'. k = 4 Simplifying k = 4
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